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A subdomain boundary element method for high‐Reynolds laminar flow using stream function‐vorticity formulation

A subdomain boundary element method for high‐Reynolds laminar flow using stream... The paper presents a new formulation of the integral boundary element method (BEM) using subdomain technique. A continuous approximation of the function and the function derivative in the direction normal to the boundary element (further ‘normal flux’) is introduced for solving the general form of a parabolic diffusion‐convective equation. Double nodes for normal flux approximation are used. The gradient continuity is required at the interior subdomain corners where compatibility and equilibrium interface conditions are prescribed. The obtained system matrix with more equations than unknowns is solved using the fast iterative linear least squares based solver. The robustness and stability of the developed formulation is shown on the cases of a backward‐facing step flow and a square‐driven cavity flow up to the Reynolds number value 50 000. Copyright © 2004 John Wiley & Sons, Ltd. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal for Numerical Methods in Fluids Wiley

A subdomain boundary element method for high‐Reynolds laminar flow using stream function‐vorticity formulation

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References (27)

Publisher
Wiley
Copyright
Copyright © 2004 John Wiley & Sons, Ltd.
ISSN
0271-2091
eISSN
1097-0363
DOI
10.1002/fld.776
Publisher site
See Article on Publisher Site

Abstract

The paper presents a new formulation of the integral boundary element method (BEM) using subdomain technique. A continuous approximation of the function and the function derivative in the direction normal to the boundary element (further ‘normal flux’) is introduced for solving the general form of a parabolic diffusion‐convective equation. Double nodes for normal flux approximation are used. The gradient continuity is required at the interior subdomain corners where compatibility and equilibrium interface conditions are prescribed. The obtained system matrix with more equations than unknowns is solved using the fast iterative linear least squares based solver. The robustness and stability of the developed formulation is shown on the cases of a backward‐facing step flow and a square‐driven cavity flow up to the Reynolds number value 50 000. Copyright © 2004 John Wiley & Sons, Ltd.

Journal

International Journal for Numerical Methods in FluidsWiley

Published: Nov 20, 2004

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